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arXiv:1106.5936 [math.CO]AbstractReferencesReviewsResources

Singly-even self-dual codes with minimal shadow

Stefka Bouyuklieva, Wolfgang Willems

Published 2011-06-29, updated 2012-01-23Version 2

In this note we investigate extremal singly-even self-dual codes with minimal shadow. For particular parameters we prove non-existence of such codes. By a result of Rains \cite{Rains-asymptotic}, the length of extremal singly-even self-dual codes is bounded. We give explicit bounds in case the shadow is minimal.

Journal: IEEE Transactions. Inform. Theory, vol. 58, pp. 3856--3860, 2012
Categories: math.CO, cs.IT, math.IT
Subjects: 94B05, 11T71
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